Abstract
In recent years, sliding mode quantizers (SMQs), where signals are converted to switching signals represented by sequence of binary values -1's and +1's, are increasingly being used in various applications including control of power converters, networked control systems (NCSs), one-bit control processing, etc. This paper derives the stability conditions of both continuous and discrete-time switched control systems which are embedded with SMQs and quasi-sliding mode quantizers (QSMQs), respectively. The optimal conditions of both SMQ and QSMQ, which assure that their outputs (binary values) optimally approximate their inputs, are established. The results of theoretical analysis are validated through numerical simulation.